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WITCHER [35]
3 years ago
7

The angle of elevation from ground level to the top of a building is 24 degrees. if the observer is standing 280 feet from the b

uilding, how tall is the building
Mathematics
1 answer:
astra-53 [7]3 years ago
5 0
Assuming the given scenario is a right angle triangle; (it helps to draw a diagram of the person and what they are seeing to better understand this question). 

tanФ=opp/adj 
tan(24)=(height of building)/280
280×tan(24)=height of building 
124.66 m = height of building. 

Hope I helped :) 
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Answer:

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Step-by-step explanation:

`From the given picture,

Angle SOP and angle SOR are the linear pairs.

Therefore, sum of these angles will be equal to to 180°.

m∠SOP + m∠SOR = 180° -----(1)

Since, m∠SOP = (7x - 2)° and m∠SOR = (5x + 14)°

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By substituting these values in the equation (1),

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12x = 168

x = \frac{168}{12}

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